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Perform Histogram Equalization for following. Obtain a plot of original as well as Equalized Histogram.
Intensity 0 1 2 3 4 5 6 7
No,of pixels 70 100 40 60 0 80 10 40
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Histogram Equalization Transformation function is defined as:

$S_k=\sum_{j=0}^kP_rr_j$

where $r_k$ and $s_k$ are normalized input and output gray values